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LCM of 606, 506, 287, 590

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 606, 506, 287, 590 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 606, 506, 287, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,506,287,590

Given numbers are 606,506,287,590

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 606,506,287,590 is 12980668470.

Find LCM of 606,506,287,590 with Prime Factorization


2 606, 506, 287, 590
303, 253, 287, 295

Multiply the prime numbers at the bottom and the left side.

2 x 303 x 253 x 287 x 295 = 12980668470

Therefore, the lowest common multiple of 606,506,287,590 is 12980668470.

LCM Formula to Find Lowest Common Multiple of 606,506,287,590

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

606 x 506 x 287 x 590 = 51922673880

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

606 : 1, 2, 3, 6, 101, 202, 303, 606

506 : 1, 2, 11, 22, 23, 46, 253, 506

287 : 1, 7, 41, 287

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,506,287,590, is 1.

Now, the common factors can be found like this.

606:2x 3x 101

506:2x 11x 23

287:7x 41

590:2x 5x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 51922673880/(1x4)

LCM = 51922673880/4

LCM = 12980668470

Thus, we can understand that the LCM of 606,506,287,590 is 12980668470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 506, 287, 590

1. What is the LCM of 606, 506, 287, 590?

Answer: LCM of 606, 506, 287, 590 is 12980668470.

2. How to calculate the LCM of 606, 506, 287, 590?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 606, 506, 287, 590.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.